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Solve the following differential equatio...

Solve the following differential equation: `(1+x^2)dy+2x y\ dx=cotx\ dx ; x!=0`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. If x=a(cos t+t sin t) and y=a(sin t - t cos t),=0

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  2. A ladder 5 m long is leaning against a wall. The bottom of the ladd...

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  3. Solve the following differential equation: (1+x^2)dy+2x y\ dx=cotx\ ...

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  4. Show that the relation R in the set of real numbers, defined as R="...

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  5. Express the following matrix as the sum of a symmetric and skew symmet...

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  6. Show that the relation S in the set A={x\ \ Z\ :0\ lt=x\ lt=12} given ...

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  7. A family has 2 children. Find the probability that both are boys, i...

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  8. Find lambda if (2 hat i+6 hat j+14 hat k)xx\ ( hat i-\ lambda hat j+7...

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  9. Evaluate the following: int(x+2)/(sqrt((x-2)(x-3)))\ dx

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  10. Show that the differential equation ((x-y)dy)/(dx)=x+2y , is homoge...

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  11. In a certain college, 4% of boys and 1% of girls are taller than 1....

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  12. A company produces soft drinks that has a contract which requires t...

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  13. Find the vector equation of the plane passing through the points (2...

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  14. Evaluate the following int0^(3/2)|xcospix\ |\ dxdot

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  15. Find the area of the region in the first quadrant enclosed by x-a xi s...

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  16. Show that the altitude of the right circular cone of maximum volume ...

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  17. Solve for x: tan^(-1)3x+tan^(-1)2x=pi/4

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  18. Prove that: sin^(-1)(4/5)+sin^(-1)(5/(13))+sin^(-1)((16)/(65))=pi/2

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  19. If vecalpha=3 hat i+4 hat j+5 hat k and vecbeta=2 hat i+ hat j-\ 4 h...

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  20. Evaluate : int(cosx)/((2+sinx)dx\ (3+4sinx)

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